迎战2年高考模拟1. 2014江西月考设数列an的前n项和Snn2,则a8的值为()A. 15B. 16C. 49 D. 64解析:由a8S8S7644915,故选A.答案:A2. 2015佛山调研已知数列an满足a10,2an1an,则数列an是()A. 递增数列 B. 递减数列C. 常数列 D. 摆动数列解析:已知a10,2an1an,则an0,1,an1an,数列an是递减数列答案:B3. 2015泰安模拟若数列an,则a5a4()A. B. C. D. 解析:a5,a4,a5a4,选C项答案:C4. 2015惠州质检已知正整数列an对任意p,qN*,都有apqapaq,若a24,则a9()A. 6 B. 9C. 18 D. 20解析:a2a11a1a14,a12,a9a81a8a12a4a14a2a118.答案:C5. 2014北京朝阳区模拟在正项数列an中,若a11,且对所有nN*满足nan1(n1)an0,则a2015()A. 1011 B. 1012C. 2014 D. 2015解析:由a11,nan1(n1)an0可得,得到,上述式子两边分别相乘得an1n1,故ann,所以a20152015,故选D.答案:D